Complex Hadamard graphs and Butson matrices

AbstractThis article introduces complex Hadamard graphs and studies their properties. Using the complete subgraphs of these complex Hadamard graphs, complex Hadamard matrices of order n are generated, where n is a multiple of four. An algorithm to construct strongly regular graphs with n2 vertices u...

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Bibliographic Details
Main Authors: Briji Jacob Chathely, Rajendra P. Deore
Format: Article
Language:English
Published: Taylor & Francis Group 2023-05-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/09728600.2023.2237093
Description
Summary:AbstractThis article introduces complex Hadamard graphs and studies their properties. Using the complete subgraphs of these complex Hadamard graphs, complex Hadamard matrices of order n are generated, where n is a multiple of four. An algorithm to construct strongly regular graphs with n2 vertices using complex Hadamard matrices of order n is also discussed in this article. MAGMA codes to construct the adjacency matrices of these strongly regular graphs are also developed.
ISSN:0972-8600
2543-3474